TEM123 TEM123
  • 12-05-2017
  • Mathematics
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What is the area of a circle with a circumference of 4π^2 ?

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jdoe0001 jdoe0001
  • 12-05-2017
[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r\qquad\qquad C=4\pi^2\implies 4\pi^2=2\pi r\implies \cfrac{4\pi^2}{2\pi }=r \\\\\\ \boxed{2\pi =r}\\\\ -----------------------------\\\\ \textit{area of a circle}\\\\ A=\pi r^2\qquad \qquad A=\pi \left( \boxed{2\pi } \right)^2\implies A=\pi \cdot 4\pi^2\implies \boxed{A=4\pi^3}[/tex]
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